(adsbygoogle = window.adsbygoogle || []).push({}); The strange meaning of .."complex delta"..

Let's suppose we introduce the function..

[tex] \delta (a+ix)=f(x) [/tex] a a real number.. then following the representation..

[tex] \frac{sin (Nx)}{x} [/tex] f(x) is oo elsewhere....except for pure complex numbers.

[tex] f(x)(2\pi) =\int_{-\infty}^{\infty}du e^{iua}exp(ux) [/tex]

f(x) is the "laplace inverse" transform of cos(as)

My question is if we can work or manipulate such function f(x) defined in the post although it makes no or little sense even considering it a "distribution"...

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# The strange meaning of complex delta

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